Pith Number

pith:FNBJBGZE

pith:2014:FNBJBGZEC5Z4BMN4ZGTG52YMK2

not attested not anchored not stored refs pending

Tower sets and other configurations with the Cohen-Macaulay property

Alfio Ragusa, Giuseppe Favacchio, Giuseppe Zappal\`a

arxiv:1401.3535 v1 · 2014-01-15 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNBJBGZEC5Z4BMN4ZGTG52YMK2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:02:08.501804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b42909b241773c0b1bcc9a66eeb0c56b8c854bdf0b88e7f973e51fcad89987d

Aliases

arxiv: 1401.3535 · arxiv_version: 1401.3535v1 · doi: 10.48550/arxiv.1401.3535 · pith_short_12: FNBJBGZEC5Z4 · pith_short_16: FNBJBGZEC5Z4BMN4 · pith_short_8: FNBJBGZE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FNBJBGZEC5Z4BMN4ZGTG52YMK2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2b42909b241773c0b1bcc9a66eeb0c56b8c854bdf0b88e7f973e51fcad89987d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994dab3513babc98eac594eaf6a6439dcf35a192f8725f225f42adbc7690cafb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-01-15T10:18:38Z",
    "title_canon_sha256": "9c58a74030033c2d09dbc716fd6f7ef5538ffffb0e5b6588af66537b91846f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3535",
    "kind": "arxiv",
    "version": 1
  }
}